The state committee of a political party shall be composed as determined by the party. It shall have:

(1)  General oversight of all conventions of its party;

(2)  Power to make rules not inconsistent with law for the guidance and control of all the political committees of its party;

(3)  Power to make a final nomination for any state office for which no primary nomination has been made and any local office for which no nomination has been made by any authorized city, town, ward, or district committee or any duly authorized subcommittee; provided, that the state committee shall not be permitted, more than twenty-four (24) hours after the deadline for the filing of declarations of candidacy, to make a nomination for any office upon the failure of a candidate of that party to file for that public office. Nominations for such office shall be filed in the same location as the declaration of candidacy for such office pursuant to the requirements of § 17-14-1 of the general laws. Individuals nominated under this section must have been eligible for the nomination on the dates as required by and pursuant to the requirements of §§ 17-14-1.1, 17-14-2 and 17-14-2.1 of the general laws and must then meet the respective requirements for filing sufficient nomination papers set forth in chapter 14; and

(4)  Power to fill vacancies in its own membership and as provided in chapter 15 of this title.